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Finding the Fourth Proportional to 32,212, 48,350.76 and 22,217.44

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Solution

The fourth proportional to 32,212, 48,350.76 and 22,217.44 is: 33,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,212 : 48,350.76 = 22,217.44 : x
  2. Step 2: Convert to fraction form
    32,212/48,350.76 = 22,217.44/x
  3. Step 3: Cross multiply
    32,212x = 48,350.76 × 22,217.44
  4. Step 4: Simplify right side
    32,212x = 1,074,230,109.25
  5. Step 5: Solve for x
    x = 1,074,230,109.25/32,212
  6. Step 6: Final answer
    x = 33,348.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.